Search a number
-
+
10517076749 is a prime number
BaseRepresentation
bin10011100101101110…
…11101101100001101
31000010221201212002002
421302313131230031
5133014332423444
64455333242045
7521423451224
oct116267355415
930127655062
1010517076749
114507685473
122056193325
13cb7b7124a
1471aac1cbb
1541849ad4e
hex272dddb0d

10517076749 has 2 divisors, whose sum is σ = 10517076750. Its totient is φ = 10517076748.

The previous prime is 10517076721. The next prime is 10517076811. The reversal of 10517076749 is 94767071501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8026368100 + 2490708649 = 89590^2 + 49907^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10517076749 is a prime.

It is a super-2 number, since 2×105170767492 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10517076719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5258538374 + 5258538375.

It is an arithmetic number, because the mean of its divisors is an integer number (5258538375).

Almost surely, 210517076749 is an apocalyptic number.

It is an amenable number.

10517076749 is a deficient number, since it is larger than the sum of its proper divisors (1).

10517076749 is an equidigital number, since it uses as much as digits as its factorization.

10517076749 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 370440, while the sum is 47.

The spelling of 10517076749 in words is "ten billion, five hundred seventeen million, seventy-six thousand, seven hundred forty-nine".